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Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment
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作者 Geng Zhang Da-Dong Tian 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第12期167-174,共8页
Under the environment of vehicle-to-vehicle(V2V)communication,the traffic information on a large scale can be obtained and used to coordinate the operation of road traffic system.In this paper,a new traffic lattice hy... Under the environment of vehicle-to-vehicle(V2V)communication,the traffic information on a large scale can be obtained and used to coordinate the operation of road traffic system.In this paper,a new traffic lattice hydrodynamic model is proposed which considers the influence of multiple-lattice self-anticipative density integration on traffic flow in the V2V environment.Through theoretical analysis,the linear stability condition of the new model is derived and the stable condition can be enhanced when more-preceding-lattice self-anticipative density integration effect is taken into account.The property of the unstable traffic density wave in the unstable region is also studied according to the nonlinear analysis.It is shown that the unstable traffic density wave can be described by solving the modified Korteweg-de-Vries(mKdV)equation.Finally,the simulation results demonstrate the validity of the theoretical results.Both theoretical analysis and numerical simulations demonstrate that multiple-lattice self-anticipative density integration effect can enhance the stability of traffic flow system in the V2V environment. 展开更多
关键词 lattice hydrodynamic model traffic stability self-anticipative density integration mKdV equation
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Detailed string stability analysis for bi-directional optimal velocity model 被引量:1
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作者 郑亮 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第4期1563-1573,共11页
The class of bi-directional optimal velocity models can describe the bi-directional looking effect that usually exists in the reality and is even enhanced with the development of the connected vehicle technologies. It... The class of bi-directional optimal velocity models can describe the bi-directional looking effect that usually exists in the reality and is even enhanced with the development of the connected vehicle technologies. Its combined string stability condition can be obtained through the method of the ring-road based string stability analysis. However, the partial string stability about traffic fluctuation propagated backward or forward was neglected, which will be analyzed in detail in this work by the method of transfer function and its H∞ norm from the viewpoint of control theory. Then, through comparing the conditions of combined and partial string stabilities, their relationships can make traffic flow be divided into three distinguishable regions, displaying various combined and partial string stability performance. Finally, the numerical experiments verify the theoretical results and find that the final displaying string stability or instability performance results from the accumulated and offset effects of traffic fluctuations propagated from different directions. 展开更多
关键词 traffic flow string stability optimal velocity model linearized stability theory transfer function
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